Analytical-Numerical Solution of Static Problems for Noncircular Cylindrical Shells of Variable Thickness

Storozhuk, E. À.; Yatsura, A. V.

doi:10.1007/s10778-017-0813-7

Cited by 18 publications

(2 citation statements)

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“…The increments intensity of plastic deformations at small deformations p i ∆ ε included in (11) can be replaced by the increment of the deformation intensity p i ε ∆ , and the increments of the strain intensity can be represented by the sum of the elastic and plastic deformations increments.…”

Section: Plasticity Matrix At the Loading Step Using The Plastic Flow...mentioning

confidence: 99%

“…In this connection, a comparative analysis of the algorithms of the aforementioned plasticity theories is of undoubted interest. The numerical finite element method (FEM) [9][10][11][12][13][14][15] in the form of the displacement method is used as a research tool. Quadrilateral fragment of its middle surface with nodes located at the vertices of the quadrilateral was chosen as the discretization element of the shell of revolution.…”

Section: Introductionmentioning

confidence: 99%

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Comparative Analysis of Plasticity Theory Algorithms in Finite-Element Calculations of the Rotation Shell

Klochkov

Николаев

Sobolesvskaya

et al. 2019

MSF

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Comparative analysis of the use of the defining equations of plasticity theories obtained at the loading step in three ways is performed. In the first method, the relations between strains increments and stresses increments are obtained by differentiating the governing equations of the small elastic-plastic deformations theory between full stresses and strains. In the second method, the authors based on the proportionality hypothesis between the component deviators of strains increments and the component deviators of stresses increments without separating the incremental strain into elastic and plastic parts obtain the determining equations at the loading step. In the third method, the relations between the incremental strain and the stresses increment of the plastic flow theory are used on the basis of the hypothesis about the proportionality of the plastic deformations increments to the components of the stress deviator. Based on the analysis of algorithms for obtaining the constitutive relations and the analysis of the numerical results of the calculation example, preference is given to the second method of obtaining expressions between stress increments and strain increments without separating the latter into elastic and plastic parts.

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Section: Plasticity Matrix At the Loading Step Using The Plastic Flow...mentioning

confidence: 99%